4.
Convert the following times into decimal time on the 24 hour clock:
1:30 PM=
09:12 AM=
11:54 PM=
4:15 PM=

Correlational research is concerned with examining relationships among variables. It focuses on understanding the associations or connections between different variables and how they relate to each other.

This type of research aims to explore the extent and direction of the relationship between variables without manipulating them.

In correlational research, researchers measure two or more variables and analyze their statistical relationship using techniques such as correlation analysis. The goal is to determine whether there is a positive or negative association between the variables, or if they are unrelated.

Correlational research does not involve establishing causation or determining differences between conditions, but rather focuses on understanding the patterns and strength of relationships between variables in order to identify potential associations or predict outcomes.

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Answer:

The derivative of the function is:

dy/dx = 9x(3x^2 + 5x + 1)^(1/2) + (15/2)(3x^2 + 5x + 1)^(1/2)

Step-by-step explanation:

To find the derivative of the function, we can use the chain rule and the power rule:

Let y = (3x^2 + 5x + 1)^(3/2)

Then, we have:

dy/dx = (3/2)(3x^2 + 5x + 1)^(1/2) (6x + 5)

Simplifying this expression, we get:

dy/dx = 9x(3x^2 + 5x + 1)^(1/2) + (15/2)(3x^2 + 5x + 1)^(1/2)

Therefore, the derivative of the function is:

dy/dx = 9x(3x^2 + 5x + 1)^(1/2) + (15/2)(3x^2 + 5x + 1)^(1/2)

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Answer:

23 and 10

Step-by-step explanation:

23 - 10 = 13

23 * 10 = 230

Answer:

10 and 23

Step-by-step explanation:

Answer:

A quadratic trinomial in x with coefficient of x^2 equal to 1 is a perfect-square trinomial if the constant term is the square of 1/2 the coefficient of x.

\( {x}^{2} + 15x + {( \frac{15}{2} )}^{2} \)

\( {x}^{2} + 15x + \frac{225}{4} \)

\( {(x + \frac{15}{2} )}^{2} \)

Roadway offers the best deal for renting a truck, and it becomes the best deal when you need to drive more than 98 miles a day.

To determine which company offers the best deal for renting a truck, we need to compare the costs based on the daily rate and the cost per mile. Roadway charges $50.70 per day and an additional $0.25 for each mile driven, while UK-Plug-It charges $55.60 per day and an additional $0.20 per mile.

To find out when Roadway becomes the best deal, we need to calculate the point at which the total cost for Roadway is lower than that of UK-Plug-It. Let's assume the number of miles driven in a day is represented by 'm.'

For Roadway, the total cost can be calculated as:

Total cost for Roadway = $50.70 (daily rate) + $0.25 (cost per mile) * m (miles driven)

For UK-Plug-It, the total cost can be calculated as:

Total cost for UK-Plug-It = $55.60 (daily rate) + $0.20 (cost per mile) * m (miles driven)

To find the point at which Roadway becomes the best deal, we need to equate the total costs of Roadway and UK-Plug-It:

$50.70 + $0.25m = $55.60 + $0.20m

Simplifying the equation, we get:

$0.05m = $4.90

Dividing both sides by $0.05, we find:

m = 98

Therefore, if you need to drive more than 98 miles in a day, Roadway offers the best deal for renting a truck.

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Answer:

$150

Step-by-step explanation:

5+10+30+100+5=150

10

Step-by-step explanation:

The way I look at it I think 10.00 cause it says I had in the beginning k and it says what people gave me and at the end it says what I had as well so I had 5.00 in the beginning and then I had another 5.00 so that makes it 10.00 in all realatly really let me know if I'm right as it's the only thing that makes since with it all..... lol so the answer is 10.00.... so if it would of said how much do I have all together then it would be what my granddaughter said but it didn't. It's a tricky question here and a good one to get people thinking on it haaa haaa

1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.

  The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.

  Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word

  Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.

  Probability of choosing AA = Number of favorable outcomes / Total number of outcomes

  Probability of choosing AA = 0 / 30 = 0.

Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

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Part A: Probability of exactly 8 residents receiving the vaccine ≈ 0.2785. Part B: Probability of at most 8 residents receiving the vaccine ≈ 0.9334. Part C: Probability of at least 8 residents receiving the vaccine ≈ 0.2815. Part D: Expected number of residents receiving the vaccine = 9.6. Part E: Standard deviation ≈ 1.3856.

Part A: To calculate the probability that exactly 8 residents have received a COVID-19 vaccine in the sample, we can use the binomial probability formula. Let's denote the probability of an individual receiving the vaccine as p and not receiving the vaccine as q. In this case, p = 0.8 and q = 1 - p = 0.2. The formula is given by P(X = k) = (n C k) * p^k * q^(n-k), where n is the sample size and k is the number of successes.

Using this formula, we can calculate the probability as follows:

P(X = 8) = (12 C 8) * (0.8^8) * (0.2^4) ≈ 0.2785

Part B: To calculate the probability that at most 8 residents have received a COVID-19 vaccine, we need to calculate the cumulative probability up to 8. This includes the probabilities of 0, 1, 2, ..., 8 residents receiving the vaccine. We can calculate this using the binomial cumulative distribution function or by summing the individual probabilities.

P(X ≤ 8) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 8)

Calculating each individual probability and summing them up, we find:

P(X ≤ 8) ≈ 0.9334

Part C: To calculate the probability that at least 8 residents have received a COVID-19 vaccine, we need to calculate the cumulative probability from 8 to 12 residents receiving the vaccine. This includes the probabilities of 8, 9, 10, 11, and 12 residents receiving the vaccine.

P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)

Calculating each individual probability and summing them up, we find:

P(X ≥ 8) ≈ 0.2815

Part D: The expected value (mean) of a binomial distribution is given by E(X) = n * p, where n is the sample size and p is the probability of success.

In this case, the expected number of residents who have received a COVID-19 vaccine is:

E(X) = 12 * 0.8 = 9.6

Part E: The standard deviation of a binomial distribution is given by the formula σ = √(n * p * q), where n is the sample size, p is the probability of success, and q is the probability of failure.

In this case, the standard deviation of the number of residents who have received a COVID-19 vaccine is:

σ = √(12 * 0.8 * 0.2) ≈ 1.3856

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Answer:

  A. 9.6

  B. √92

Step-by-step explanation:

Rational: 9.6. It is rational because it is a terminating decimal number.

__

Irrational: √92 ≈ 9.59166.... It is irrational because it is the square root of an integer that is not a perfect square. All such square roots are irrational.

_____

Additional comment

In general, the n-th root of an integer that is not a perfect n-th power will be irrational. For example, ∛885 ≈ 9.600954766... is irrational, because 885 is not a perfect cube. (9³=729, 10³=1000)

Trig functions of (non-zero) rational angles in radians will be irrational. For example, tan(1.467) ≈ 9.5996286... is irrational.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

2[p - (4p + 11) + 1] = 2(p + 10)

Step 02:

solve the equation:

2[p - (4p + 11) + 1] = 2(p + 10)

2[p - 4p - 11 + 1] = 2p + 20

2[- 3p - 10] = 2p + 20

-6p - 20 = 2p + 20

-6p - 2p = 20 + 20

-8p = 40

p = 40 / (-8)

p = - 5

The answer is:

The solution set is {-5}

Answer: $75

Step-by-step explanation: First he bought tires for 45.00 dollars - later sold it as 65.0 dollars.

=> 65 - 45 = 20 dollars is his profit

he brought 3 rims for 85 dollar - then later sold it as 126 dollars

=> 126 - 85 = 41 dollars

He bought headlight for 5.00 dollars then sold it later for 15 dollars.

=> 15 - 5 = 10 dollars

Total expenses

=> 134

Total amount sold

=> 209

Profit => 209 - 134 = 75 dollars

The correct choice to prove that angle 1 is equal to angle 3 is C) Angle Congruence Postulate.

To prove that angle 1 is equal to angle 3, we can use the Angle Congruence Postulate.

This postulate states that if two angles have the same measure, then they are congruent.

In this case, angle 1 and angle 3 are vertical angles.

Vertical angles are formed by two intersecting lines and are opposite each other.

Since they are opposite angles, they have the same measure.

Therefore, we can conclude that angle 1 is congruent to angle 3 based on the Angle Congruence Postulate.

In summary, the correct choice to prove that angle 1 is equal to angle 3 is C) Angle Congruence Postulate.

Using the Angle Congruence Postulate, we can show that angle 1 and angle 3 have the same measure.

This is because they are vertical angles, which are opposite angles formed when two lines intersect.

Vertical angles are congruent, meaning they have equal measures.

Please note that there may be other ways to prove that angle 1 is equal to angle 3, but in this case, the Angle Congruence Postulate is the most appropriate choice.

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Answer:

43.98

Step-by-step explanation:

As per the concept of probability, the number of parts should they order under their regular shipment for the next six months is approximately 18.

In this scenario, the demand rate is given as a Poisson distribution with a mean of 6.5. The holding cost is $5 per part, and the unit cost under regular, semiannual shipment is $32 per part, while the cost of an emergency shipment is $50 per part.

Since we know that orders are placed semiannually, we need to find the order quantity that will last for six months. To do this, we can divide the total annual demand by 2. Therefore, the annual demand for part 1aa-66 is 6.5 x 2 = 13.

Now, we can use the EOQ formula to find the optimal order quantity:

EOQ = √(2DS/H)

Where D is the demand rate, S is the ordering cost, and H is the holding cost.

Plugging in the values, we get:

EOQ = √(2 x 13 x $32 / $5) = √332.8 ≈ 18.23

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Answer:

The little circle is black.

The first top row is: purple(7), blue(8), purple(7), blue(8), purple(7), blue(8).

The 2nd row is: pink(5), orange(6), yellow(4), green(2), red(1), brown(10)

The 3rd row is: brown(10), red(1), green(2), yellow(4), orange(6), pink(5)

The top handle color is: brown(10)

The bottom handle color is: black(3)

Step-by-step explanation:

I worked it out

Answer:

A

Step-by-step explanation:

Real number is a value of a continuous quantity that can represent a distance along a line. The adjective real in this context was introduced in the 17th century by René Descartes, who distinguished between real and imaginary roots of polynomials. Example: 1.23939....

when you type in the answer A in calculator, you will get 3.464101615 as your final answer which is explain that answer A is a real number.

Answer:

A

Step-by-step explanation:

............................

To find the scale factor of the dilation, you must divide the length of a side of the image (A'B'C'D') by the length of the corresponding side of the original quadrilateral (ABCD).

In order to find the scale factor of the dilation between quadrilateral ABCD and its image A'B'C'D', you need to compare the lengths of corresponding sides of both quadrilaterals. To do this, measure the length of a side (e.g., AB) in the original quadrilateral and the length of the corresponding side (e.g., A'B') in the image. Then, divide the length of the side in the image by the length of the side in the original quadrilateral:

Scale factor = (length of A'B') / (length of AB)

The result will give you the scale factor of the dilation. This ratio will be the same for all corresponding sides of the quadrilaterals, and it represents the amount by which the original figure was enlarged or reduced to create the image.

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The net change in the stock market over the five days was a positive 27.7.

What are statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It provides methods for collecting and analyzing data in order to make informed decisions in a variety of fields such as science, medicine, economics, business, social sciences, and many more.

Statisticians use various techniques to analyze data and draw conclusions, such as descriptive statistics, which summarizes and describes data, and inferential statistics, which allows for making inferences and predictions about a population based on a sample of data.

To find the net change in the stock market over the period of five days, we need to add up all of the daily changes in the market.

Net change = 9.8 - 3.5 + 20.5 + 8.6 - 7.7

Net change = 27.7

Therefore, the net change in the stock market over the five days was a positive 27.7.

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In completing the square method, considering the equation X^2 + 82x +  the number to be added should be 1681 to make it a perfect square

The quadratic equation is an equation of the form

ax^2 + bx + c

The completing the square method is on of the methods of solving equations of the form above

The factor to be added on the both sides of the equation while using the completing the square method is

(b / 2a)^2

compared to the equation in the problem X^2 +82x

= (b / 2a)^2

= (82 / 2)^2

= (41)^2

= 1681

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The distance between opposite corners of the farmer's rectangular field is 97 yards.

The distance between opposite corners of a rectangular field can be calculated using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the opposite corners of the rectangular field form the two shorter sides of a right triangle, and the distance between them is the hypotenuse.

To apply the Pythagorean theorem, we can label the length of the field (72 yards) as one side, and the width of the field (65 yards) as the other side. The distance between the opposite corners (the hypotenuse) can then be calculated as follows:

Distance between opposite corners = √(length² + width²)

= √(72² + 65²)

= √(5184 + 4225)

= √9409

= 97

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Answer:

8 first class and 9 coaches.

Step-by-step explanation:

Based on the information given, the logical conclusion is that Rachel won the race.

The statement "Rachel ran faster than Helen" indicates that Rachel performed better than Helen. Additionally, the statement "Darla came in last" suggests that Darla performed the worst among the mentioned individuals. Lastly, the statement "Helen finished ahead of Charlene" implies that Helen performed better than Charlene.

Since Rachel ran faster than Helen, Helen finished ahead of Charlene, and Darla came in last, the logical conclusion is that Rachel won the race. Therefore, Rachel is the winner.

Answer:

y = 30- 2 = 28

28/4=7

So 7 per side of the square. x would then be 27-7-7= 13 counting from the top

y would be 2+7+7=16

(13,16)

1a) The additional information required using SAS Congruency postulate is; ∠AOB ≅ ∠BOD

1b) The additional information required using ASA Congruency postulate  is BC ≅ QR

2a) The symbolic form of the congruent triangles is written as;

ΔABC ≅ ΔADC

2b) The congruence Postulate that is used is SAS Congruency postulate.

1a) We want to prove that the triangles are congruent by SAS Congruency postulate. SAS congruency postulate denotes Side - Angle - Side. That is 2 congruent sides and the included angle. This means we have our additional information as;

∠AOB ≅ ∠BOD

1b) We want to prove that the given triangle ABC is congruent to the other triangle PQR by the ASA Congruency. ASA Congruency means 2 congruent angles and the included side. We are given;

∠Q = ∠B

∠R = ∠C.

Therefore, the additional information is BC ≅ QR

2a) The symbolic form of the given congruent triangles is expressed as;

ΔABC ≅ ΔADC

2b) The congruence postulate that was used here is SAS Congruency postulate.

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Answer:

651/100

Step-by-step explanation:

Answer:6 51/100

Step-by-step explanation:I dont really feel like explaining lol

To find the points where the height of the Gateway Arch is 100 meters, we need to solve the equation y = 100 for x.

Substituting y = 100 into the equation for the central curve of the arch, we get:

100 = 211.49 - 20.96 cosh (0.03291765x)

Rearranging the equation, we get:

cosh (0.03291765x) = (211.49 - 100) / 20.96

cosh (0.03291765x) = 5.21

Taking the inverse hyperbolic cosine of both sides, we get:

0.03291765x = acosh(5.21)

x = (1/0.03291765) acosh(5.21)

Solving for x using a calculator, we get:

x = ± 64.975

Therefore, the height of the Gateway Arch is 100 meters at the points (64.975, 100) and (-64.975, 100).

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Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

Use the kinematic formula

\({v_2}^2 - {v_1}^2 = 2a\Delta x\)

where \(v_1,v_2\) are initial/final velocities, \(a\) is acceleration, and \(\Delta x\) is displacement. We're given \(a=-5.00\frac{\rm m}{\rm s^2}\) and \(\Delta x=15.0\,\rm m\), and the car comes to a stop so \(v_2=0\). Solve for \(v_1\).

\(-{v_1}^2 = 2\left(-5.00\dfrac{\rm m}{\rm s^2}\right) (15.0\,\mathrm m) \\\\ ~~~~ \implies {v_1}^2 = 150.\dfrac{\rm m^2}{\rm s^2} \\\\ ~~~~ \implies v_1 = \sqrt{150.\dfrac{\rm m^2}{\rm s^2}} \approx \boxed{12.2 \dfrac{\rm m}{\rm s}}\)